| Exam Board | AQA |
|---|---|
| Module | AS Paper 2 (AS Paper 2) |
| Year | 2024 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Single transformation application |
| Difficulty | Easy -1.3 This is a straightforward recall question testing basic transformations of functions. Each part requires only direct application of standard transformation rules (vertical translation adds to y, vertical stretch multiplies y, horizontal stretch divides x). No problem-solving or multi-step reasoning required—purely procedural with 1 mark per part indicating minimal complexity. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| 4(a) | Obtains y = 8sinx + 4 OE | 1.1b |
| Subtotal | 1 | |
| Q | Marking instructions | AO |
| Answer | Marks | Guidance |
|---|---|---|
| 4(b) | Obtains y = 32sinx OE | 1.1b |
| Subtotal | 1 | |
| Q | Marking instructions | AO |
| Answer | Marks |
|---|---|
| 4(c) | x |
| Answer | Marks | Guidance |
|---|---|---|
| 2 | 1.1b | B1 |
| Answer | Marks | Guidance |
|---|---|---|
| Subtotal | 1 | |
| Question 4 Total | 3 | |
| Q | Marking instructions | AO |
Question 4:
--- 4(a) ---
4(a) | Obtains y = 8sinx + 4 OE | 1.1b | B1 | y = 8sinx + 4
Subtotal | 1
Q | Marking instructions | AO | Marks | Typical solution
--- 4(b) ---
4(b) | Obtains y = 32sinx OE | 1.1b | B1 | y = 32sinx
Subtotal | 1
Q | Marking instructions | AO | Marks | Typical solution
--- 4(c) ---
4(c) | x
Obtains y = 8sin OE
2 | 1.1b | B1 | x
y = 8sin
2
Subtotal | 1
Question 4 Total | 3
Q | Marking instructions | AO | Marks | Typical solutionCurve $C$ has equation $y = 8 \sin x$
\begin{enumerate}[label=(\alph*)]
\item Curve $C$ is transformed onto curve $C_1$ by a translation of vector $\begin{pmatrix} 0 \\ 4 \end{pmatrix}$
Find the equation of $C_1$
[1 mark]
\item Curve $C$ is transformed onto curve $C_2$ by a stretch of scale factor 4 in the $y$ direction.
Find the equation of $C_2$
[1 mark]
\item Curve $C$ is transformed onto curve $C_3$ by a stretch of scale factor 2 in the $x$ direction.
Find the equation of $C_3$
[1 mark]
\end{enumerate}
\hfill \mbox{\textit{AQA AS Paper 2 2024 Q4 [3]}}